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Twisted cohomology of A-infinity algebras

类别:学术讲座
时间:2017-12-08 15:30:00
校区:思明校区
地点:海韵行政楼B313
主讲人/主办人:李维萍教授(美国Oklahoma州立大学教授、西南交通大学数学学院院长)

背景资料:We study the twisted cohomology groups of A_\infty-algebras defined by twisting elements and their behavior under morphisms and homotopies using the bar construction. We define higher Massey products on the cohomology groups of general A_\infty-algebras and establish the naturality under morphisms and their dependency on defining systems. The above constructions are also considered for C_\infty-algebras. We construct a spectral sequence converging to the twisted cohomology groups and show that the higher differentials are given by the A_\infty-algebraic Massey products. This is a joint work with Siye Wu.